7952589216 has 288 divisors, whose sum is σ = 27430341120. Its totient is φ = 2152396800.

The previous prime is 7952589179. The next prime is 7952589221. The reversal of 7952589216 is 6129852597.

7952589216 is a `hidden beast` number, since 7 + 9 + 52 + 589 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (2721600) is a multiple of the sum of its prime factors (6300).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1273590 + ... + 1279818.

It is an arithmetic number, because the mean of its divisors is an integer number (95244240).

Almost surely, 2^7952589216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7952589216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13715170560).

7952589216 is an abundant number, since it is smaller than the sum of its proper divisors (19477751904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7952589216 is a wasteful number, since it uses less digits than its factorization.

7952589216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300 (or 6289 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 7952589216 is about 89177.2909209514. The cubic root of 7952589216 is about 1996.0412707346.

The spelling of 7952589216 in words is "seven billion, nine hundred fifty-two million, five hundred eighty-nine thousand, two hundred sixteen".